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Finding the Fourth Proportional to 9,402.88, 12,982.08 and 6,611.20

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Solution

The fourth proportional to 9,402.88, 12,982.08 and 6,611.20 is: 9,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.88 : 12,982.08 = 6,611.20 : x
  2. Step 2: Convert to fraction form
    9,402.88/12,982.08 = 6,611.20/x
  3. Step 3: Cross multiply
    9,402.88x = 12,982.08 × 6,611.20
  4. Step 4: Simplify right side
    9,402.88x = 85,827,127.30
  5. Step 5: Solve for x
    x = 85,827,127.30/9,402.88
  6. Step 6: Final answer
    x = 9,127.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.